Question: Consider the discrete memoryless MIMO channel with input vector X = (X1, X2, X's ) and output vector Y = (Y1, Y2, Y's), all elements

Consider the discrete memoryless MIMO channel with input vector X = (X1, X2, X's ) and output vector Y = (Y1, Y2, Y's), all elements in the binary field F2. The relationship between the inputs and outputs is described as follows. All operations are in F2. X 1 Z1 XQ + Y3 X3 ZIZZ Here 21 72 is the product of Z1, Z2 (also in F2). The noise vector Z = (Z1, Z2, Z1 Z2) is independent of the input vector X. The joint distribution of Z1, Z2 is given below. P(Z1, Z2) Z2 =0 Z2 =1 Z1 = 0 0 0.25 Z1 = 1 0.25 0.5 Select the choice that is the closest to the capacity of this channel (in bits/channel-use). O 0.5 O 0.6 O 0.7 O 0.8
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